Dynamic analysis of polymeric fluid in shear flow for dumbbell model with internal viscosity
The dynamic analysis of semi-flexible polymers, such as DNA molecules, is an important muitiseale problem with a wide range of applications in science and bioengineering. In this contribution, a dumbbell model with internal viscosity was studied in steady shear flows of polymeric fluid. The tensors with moments other than second moment were approximated in the terms of second moment tensor. Then, the nonlinear algebraic equation of the second moment conformation tensor was calculated in closed form. Finally, substituting the resulting conformation tensor into the Kramers equation of Hookean spring force, the constitutive equations were obtained. The shear material properties were discussed for different internal viscosities and compared with the results of Brownian dynamics simulation.
dynamic simulation polymeric fluid internal viscosity shear thinning
YANG Xiao-dong(杨晓东) R.V.N.MELNIK
Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering,Shenyang 110136, Mathematical Modelling and Computational Sciences, Wilfrid Laurier University,Waterloo, Ontario, Can
国际会议
长沙
英文
17-20
2008-09-28(万方平台首次上网日期,不代表论文的发表时间)